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Finding the Fourth Proportional to 834, 1,251.15 and 347.08

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Solution

The fourth proportional to 834, 1,251.15 and 347.08 is: 520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    834 : 1,251.15 = 347.08 : x
  2. Step 2: Convert to fraction form
    834/1,251.15 = 347.08/x
  3. Step 3: Cross multiply
    834x = 1,251.15 × 347.08
  4. Step 4: Simplify right side
    834x = 434,249.14
  5. Step 5: Solve for x
    x = 434,249.14/834
  6. Step 6: Final answer
    x = 520.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.